Question

What is the missing value in the equation? 4 2/6 - 3/n = 4 17/24

Answer 1

4 2/6 - 3/n = 4 17/24

subtract 4 2/6 from each side

4 2/6 - 4 2/6 - 3/n = 4 17/24 - 4 2/6

-3/n = 4 17/24 - 4 2/6

get a common denominator for the right hand side (24)

-3/n = 4 17/24 - 4 2/6* 4/4

-3/n = 4 17/24 - 4 8/24

-3/n = 9/24

multiply by n on each side

-3/n * n = 9 * n /24

-3 = 9/24 * n

multiply by 24/9 on each side

-3 * 24/9 = 24/9 * 9/24 *n

-8 = n